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29 March 2024
 
  » arxiv » 1511.1852

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Phenomenology with Lattice NRQCD b Quarks
Brian Colquhoun ; Christine T. H. Davies ; Rachel J. Dowdall ; Jonna Koponen ; G. Peter Lepage ; Andrew T. Lytle ;
Date 5 Nov 2015
AbstractThe HPQCD collaboration has used radiatively-improved NonRelativistic QCD (NRQCD) for $b$ quarks in bottomonium to determine the decay rate of $Upsilon$ and $Upsilon^prime$ mesons to leptons in lattice QCD. Using time-moments of vector bottomonium current-current correlators, we are also able to determine the $b$ quark mass in the $overline{mathrm{MS}}$ scheme. We use the same NRQCD $b$ quarks and Highly Improved Staggered Quark (HISQ) light quarks -- with masses down to their physical values -- to give a complete picture of heavy-light meson decay constants including those for vector mesons. We also study the semileptonic $B ightarrowpiell u$ decay at zero recoil to show that lattice QCD is consistent with the soft pion theorem for this decay: $f_0(q^2_{mathrm{max}})=f_B/f_pi$ in the massless pion limit. Finally, we present preliminary results for the $B_c ightarrow eta_c ell u$ semileptonic decay form factors. This is a showcase for the comparison of results for NRQCD $b$ quarks with those from HISQ $b$ quarks (both with HISQ $c$ quarks). We give the first 3-point results from our ’heavy HISQ’ programme, which will allow us to improve the normalisation of NRQCD-HISQ currents for other calculations.
Source arXiv, 1511.1852
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